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Quiz 3 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz III Solution Name:_____ Lecturer: Gangyong Lee Time:_____ Jan. 28, 2013 ID#_____ 1. Let A = ⎡ ⎣ 3 1 1 4 7 2 2 4 3 ⎤ ⎦ and v = ⎡ ⎣ 1 -2 3 ⎤ ⎦. Calculate the scalar of the following: ||vT Av||. (8 points.) Sol) vT Av =...
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Quiz 11 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz XI Solution Name:_____ Lecturer: Gangyong Lee Time:_____ April 22, 2013 ID#_____ (a)-(b) Let A = [4 0 5 0 3 -2 0 4 -1 ] be a matrix. (a) Find the characteristic polynomial and the eigenvalues for A. (8 pts.) Sol) det(A - λI) = ∣ ...
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Quiz 1 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz I Solution Name:_____ Lecturer: Gangyong Lee Time:_____ Jan. 11, 2013 ID#_____ 1. Display the coefficient matrix A and the augmented matrix B. (6 points.) y -3z = -1 x +2y -5z = -2 -x -3y +7z = 3 Sol) A = ⎡ ⎣ 0 1 -3 1 2 -5 -1 -3...
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2 Pages
Quiz 7 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz VII Solution Name:_____ Lecturer: Gangyong Lee Time:_____ Mar. 04, 2013 ID#_____ 1.(a)-(e) Let A = 1 1 3 1 4 −3 2 1 −2 5 4 1 6 1 1 (a) Find the reduced echelon form of a matrix A. (12 points.) Sol) A = 1 ...
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Useful exam paper
School: University Of Toronto
Course: MATH 247
... These two equations can be combined to form the matrix equation ... 7. (10 points) Consider a linear transformation T that represents the orthogonal projection ... it contains some vector v. Since it is also closed under scalar multiplication,...
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8 Pages
Josiah Oh
School: Northwestern University
Course: MATH 291-1
Josiah Oh Professor Russin Genetically Modified Foods 10 June 2013 Genetically Modified Foods: A Risk Assessment Scientists first discovered the possibility of genetic modification in 1946 and created the first genetically modified plant ...
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6 Pages
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Auditing is the accumulation and evaluation of evidence about information to determine and report on
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Auditing is the accumulation and evaluation of evidence about information to determine and report on
School: University Of California, Berkeley
Course: MATH 110
... the reliability of information systems used to generate real-time information. ... 1. The need for independence from clients. ...
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21 Pages
mth221_r2_coding_theory_case_study
School: University Of Phoenix
Course: MATH 221
... audio recording (see [5] for details). Finally, many concepts and techniques from both linear algebra and abstract algebra are used in coding theory. Studying coding theory may con- vince the ...
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solutions02
School: Queens University
Course: MATH 110
... By definition, the centroid of the four vertices is the point corresponding to the vector 1 4 ( -→ OP+ -→ OQ+ -→ OR+ -→ OS). ...
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hw5 (2)
School: Northwestern University
Course: MATH 320
Math 320-3: Homework 5 Northwestern University, Spring 2015 1. Wade, 12.2.7. Suppose that Q = {(x, y) ∈ R2 | x > 0 and y > 0} and that f is a continuous function on R2 whose first-order ...
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5 Pages
A3_soln (3)
School: University Of Waterloo
Course: MATH 235
... 7. Let V and W be vector spaces with dimV = n and dimW = m, let L : V → W be a linear mapping, and let A be the matrix of L with respect to ...
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solutions02
School: Queens University
Course: MATH 312
... sub- space of Qn×n. (b) Let Wsym be the subspace of Qn×n consisting of all symmetric matrices. ... to express each matrix B ∈ Qn×n as a sum of a skew-symmetric and a symmetric matrix. ... This is a homogeneous system of linear equations. ...
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Quiz 3 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz III Solution Name:_____ Lecturer: Gangyong Lee Time:_____ Jan. 28, 2013 ID#_____ 1. Let A = ⎡ ⎣ 3 1 1 4 7 2 2 4 3 ⎤ ⎦ and v = ⎡ ⎣ 1 -2 3 ⎤ ⎦. Calculate the scalar of the following: ||vT Av||. (8 points.) Sol) vT Av =...
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1 Page
Quiz 11 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz XI Solution Name:_____ Lecturer: Gangyong Lee Time:_____ April 22, 2013 ID#_____ (a)-(b) Let A = [4 0 5 0 3 -2 0 4 -1 ] be a matrix. (a) Find the characteristic polynomial and the eigenvalues for A. (8 pts.) Sol) det(A - λI) = ∣ ...
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1 Page
Quiz 1 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz I Solution Name:_____ Lecturer: Gangyong Lee Time:_____ Jan. 11, 2013 ID#_____ 1. Display the coefficient matrix A and the augmented matrix B. (6 points.) y -3z = -1 x +2y -5z = -2 -x -3y +7z = 3 Sol) A = ⎡ ⎣ 0 1 -3 1 2 -5 -1 -3...
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2 Pages
Quiz 7 Solution
School: Ohio State University
Course: MATH 2568
Math 2568 Quiz VII Solution Name:_____ Lecturer: Gangyong Lee Time:_____ Mar. 04, 2013 ID#_____ 1.(a)-(e) Let A = 1 1 3 1 4 −3 2 1 −2 5 4 1 6 1 1 (a) Find the reduced echelon form of a matrix A. (12 points.) Sol) A = 1 ...
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Quiz9 Solutions
School: University Of Michigan
Course: MATH 217
Math 217 003 - Winter 2015 Quiz 9 Solutions 1. (1 point) Define an eigenvector of a matrix A ∈ Rn×n. Solution : A vector v is an eigenvector of A if v = 0 and there exists a scalar λ such that A v = λ v. ...
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10 Pages
linear_algebra_midterm_01_v7_solutions
School: University Of Ontario Institute Of Technology
Course: MATH 2050U
www.Equaser.com Linear Algebra Midterm 1- v7-Solutions www.Equaser.com Linear Algebra Midterm 1- v7-Solutions www.Equaser.com Linear Algebra Midterm 1- v7-Solutions www.Equaser.com ...
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8 Pages
W13Math217Midterm1
School: University Of Michigan
Course: MATH 217
... (b) (3 points) If {v1,v2,v3} is a linearly dependent set then v3 can be written as a linear combination of ... (c) (3 points) There exists a 99 × 99 matrix A such ... (e) (3 points) For every positive integer n, the set H of n × n matrices w...
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2 Pages
Quiz1+Solutions
School: University Of Michigan
Course: MATH 217
Math 217 - Spring 2014 Quiz 1 Solutions 1. (7 points) Perform Gauss Jordan elimination on the augmented matrix to solve the following linear system 2x2 + x3 = 2 x1 + 3x2 + 2x3 = -1 4x1 + 6x2 + 5x3 = 3 ...
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